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Finding the Fourth Proportional to 10,526.69, 15,782.13 and 6,365.84

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Solution

The fourth proportional to 10,526.69, 15,782.13 and 6,365.84 is: 9,543.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,526.69 : 15,782.13 = 6,365.84 : x
  2. Step 2: Convert to fraction form
    10,526.69/15,782.13 = 6,365.84/x
  3. Step 3: Cross multiply
    10,526.69x = 15,782.13 × 6,365.84
  4. Step 4: Simplify right side
    10,526.69x = 100,466,565.83
  5. Step 5: Solve for x
    x = 100,466,565.83/10,526.69
  6. Step 6: Final answer
    x = 9,543.99

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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.