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Finding the Fourth Proportional to 10,690.90, 16,038.96 and 7,534.50

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Solution

The fourth proportional to 10,690.90, 16,038.96 and 7,534.50 is: 11,303.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.90 : 16,038.96 = 7,534.50 : x
  2. Step 2: Convert to fraction form
    10,690.90/16,038.96 = 7,534.50/x
  3. Step 3: Cross multiply
    10,690.90x = 16,038.96 × 7,534.50
  4. Step 4: Simplify right side
    10,690.90x = 120,845,482.76
  5. Step 5: Solve for x
    x = 120,845,482.76/10,690.90
  6. Step 6: Final answer
    x = 11,303.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.