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Finding the Fourth Proportional to 10,045.76, 13,871.67 and 7,068.20

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Solution

The fourth proportional to 10,045.76, 13,871.67 and 7,068.20 is: 9,760.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.76 : 13,871.67 = 7,068.20 : x
  2. Step 2: Convert to fraction form
    10,045.76/13,871.67 = 7,068.20/x
  3. Step 3: Cross multiply
    10,045.76x = 13,871.67 × 7,068.20
  4. Step 4: Simplify right side
    10,045.76x = 98,047,737.89
  5. Step 5: Solve for x
    x = 98,047,737.89/10,045.76
  6. Step 6: Final answer
    x = 9,760.11

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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.