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Finding the Fourth Proportional to 10,526.02, 15,773.99 and 7,730.75

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Solution

The fourth proportional to 10,526.02, 15,773.99 and 7,730.75 is: 11,585.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,526.02 : 15,773.99 = 7,730.75 : x
  2. Step 2: Convert to fraction form
    10,526.02/15,773.99 = 7,730.75/x
  3. Step 3: Cross multiply
    10,526.02x = 15,773.99 × 7,730.75
  4. Step 4: Simplify right side
    10,526.02x = 121,944,773.97
  5. Step 5: Solve for x
    x = 121,944,773.97/10,526.02
  6. Step 6: Final answer
    x = 11,585.08

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