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Finding the Fourth Proportional to 7,715.86, 11,565.04 and 3,547.26

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Solution

The fourth proportional to 7,715.86, 11,565.04 and 3,547.26 is: 5,316.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.86 : 11,565.04 = 3,547.26 : x
  2. Step 2: Convert to fraction form
    7,715.86/11,565.04 = 3,547.26/x
  3. Step 3: Cross multiply
    7,715.86x = 11,565.04 × 3,547.26
  4. Step 4: Simplify right side
    7,715.86x = 41,024,128.23
  5. Step 5: Solve for x
    x = 41,024,128.23/7,715.86
  6. Step 6: Final answer
    x = 5,316.86

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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.