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Finding the Fourth Proportional to 10,612.79, 14,637.43 and 7,779.10

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Solution

The fourth proportional to 10,612.79, 14,637.43 and 7,779.10 is: 10,729.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.79 : 14,637.43 = 7,779.10 : x
  2. Step 2: Convert to fraction form
    10,612.79/14,637.43 = 7,779.10/x
  3. Step 3: Cross multiply
    10,612.79x = 14,637.43 × 7,779.10
  4. Step 4: Simplify right side
    10,612.79x = 113,866,031.71
  5. Step 5: Solve for x
    x = 113,866,031.71/10,612.79
  6. Step 6: Final answer
    x = 10,729.13

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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.