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Finding the Fourth Proportional to 10,528.95, 14,530.98 and 7,871.76

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Solution

The fourth proportional to 10,528.95, 14,530.98 and 7,871.76 is: 10,863.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,528.95 : 14,530.98 = 7,871.76 : x
  2. Step 2: Convert to fraction form
    10,528.95/14,530.98 = 7,871.76/x
  3. Step 3: Cross multiply
    10,528.95x = 14,530.98 × 7,871.76
  4. Step 4: Simplify right side
    10,528.95x = 114,384,387.12
  5. Step 5: Solve for x
    x = 114,384,387.12/10,528.95
  6. Step 6: Final answer
    x = 10,863.80

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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.