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Finding the Fourth Proportional to 7,565.59, 11,359.02 and 3,870.47

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Solution

The fourth proportional to 7,565.59, 11,359.02 and 3,870.47 is: 5,811.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.59 : 11,359.02 = 3,870.47 : x
  2. Step 2: Convert to fraction form
    7,565.59/11,359.02 = 3,870.47/x
  3. Step 3: Cross multiply
    7,565.59x = 11,359.02 × 3,870.47
  4. Step 4: Simplify right side
    7,565.59x = 43,964,746.14
  5. Step 5: Solve for x
    x = 43,964,746.14/7,565.59
  6. Step 6: Final answer
    x = 5,811.15

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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.