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Finding the Fourth Proportional to 7,756.83, 11,547.52 and 7,710.71

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Solution

The fourth proportional to 7,756.83, 11,547.52 and 7,710.71 is: 11,478.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.83 : 11,547.52 = 7,710.71 : x
  2. Step 2: Convert to fraction form
    7,756.83/11,547.52 = 7,710.71/x
  3. Step 3: Cross multiply
    7,756.83x = 11,547.52 × 7,710.71
  4. Step 4: Simplify right side
    7,756.83x = 89,039,500.92
  5. Step 5: Solve for x
    x = 89,039,500.92/7,756.83
  6. Step 6: Final answer
    x = 11,478.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.