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Finding the Fourth Proportional to 10,515.59, 14,518.80 and 6,538.49

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Solution

The fourth proportional to 10,515.59, 14,518.80 and 6,538.49 is: 9,027.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515.59 : 14,518.80 = 6,538.49 : x
  2. Step 2: Convert to fraction form
    10,515.59/14,518.80 = 6,538.49/x
  3. Step 3: Cross multiply
    10,515.59x = 14,518.80 × 6,538.49
  4. Step 4: Simplify right side
    10,515.59x = 94,931,028.61
  5. Step 5: Solve for x
    x = 94,931,028.61/10,515.59
  6. Step 6: Final answer
    x = 9,027.65

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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.