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Finding the Fourth Proportional to 8,715.61, 13,071.30 and 6,106.47

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Solution

The fourth proportional to 8,715.61, 13,071.30 and 6,106.47 is: 9,158.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,715.61 : 13,071.30 = 6,106.47 : x
  2. Step 2: Convert to fraction form
    8,715.61/13,071.30 = 6,106.47/x
  3. Step 3: Cross multiply
    8,715.61x = 13,071.30 × 6,106.47
  4. Step 4: Simplify right side
    8,715.61x = 79,819,501.31
  5. Step 5: Solve for x
    x = 79,819,501.31/8,715.61
  6. Step 6: Final answer
    x = 9,158.22

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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.