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Finding the Fourth Proportional to 10,534.56, 14,538.86 and 6,500.58

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Solution

The fourth proportional to 10,534.56, 14,538.86 and 6,500.58 is: 8,971.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.56 : 14,538.86 = 6,500.58 : x
  2. Step 2: Convert to fraction form
    10,534.56/14,538.86 = 6,500.58/x
  3. Step 3: Cross multiply
    10,534.56x = 14,538.86 × 6,500.58
  4. Step 4: Simplify right side
    10,534.56x = 94,510,990.04
  5. Step 5: Solve for x
    x = 94,510,990.04/10,534.56
  6. Step 6: Final answer
    x = 8,971.52

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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.