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Finding the Fourth Proportional to 10,460.34, 14,429.88 and 7,102.08

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Solution

The fourth proportional to 10,460.34, 14,429.88 and 7,102.08 is: 9,797.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460.34 : 14,429.88 = 7,102.08 : x
  2. Step 2: Convert to fraction form
    10,460.34/14,429.88 = 7,102.08/x
  3. Step 3: Cross multiply
    10,460.34x = 14,429.88 × 7,102.08
  4. Step 4: Simplify right side
    10,460.34x = 102,482,162.15
  5. Step 5: Solve for x
    x = 102,482,162.15/10,460.34
  6. Step 6: Final answer
    x = 9,797.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.