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Finding the Fourth Proportional to 10,646.10, 14,690.57 and 5,929.88

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Solution

The fourth proportional to 10,646.10, 14,690.57 and 5,929.88 is: 8,182.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.10 : 14,690.57 = 5,929.88 : x
  2. Step 2: Convert to fraction form
    10,646.10/14,690.57 = 5,929.88/x
  3. Step 3: Cross multiply
    10,646.10x = 14,690.57 × 5,929.88
  4. Step 4: Simplify right side
    10,646.10x = 87,113,214.13
  5. Step 5: Solve for x
    x = 87,113,214.13/10,646.10
  6. Step 6: Final answer
    x = 8,182.64

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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.