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Finding the Fourth Proportional to 10,686.59, 14,748.05 and 6,438.98

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Solution

The fourth proportional to 10,686.59, 14,748.05 and 6,438.98 is: 8,886.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.59 : 14,748.05 = 6,438.98 : x
  2. Step 2: Convert to fraction form
    10,686.59/14,748.05 = 6,438.98/x
  3. Step 3: Cross multiply
    10,686.59x = 14,748.05 × 6,438.98
  4. Step 4: Simplify right side
    10,686.59x = 94,962,398.99
  5. Step 5: Solve for x
    x = 94,962,398.99/10,686.59
  6. Step 6: Final answer
    x = 8,886.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.