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Finding the Fourth Proportional to 10,501.70, 14,511.56 and 8,989.02

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Solution

The fourth proportional to 10,501.70, 14,511.56 and 8,989.02 is: 12,421.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501.70 : 14,511.56 = 8,989.02 : x
  2. Step 2: Convert to fraction form
    10,501.70/14,511.56 = 8,989.02/x
  3. Step 3: Cross multiply
    10,501.70x = 14,511.56 × 8,989.02
  4. Step 4: Simplify right side
    10,501.70x = 130,444,658.13
  5. Step 5: Solve for x
    x = 130,444,658.13/10,501.70
  6. Step 6: Final answer
    x = 12,421.30

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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.