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Finding the Fourth Proportional to 10,406.32, 15,607.98 and 3,386.98

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Solution

The fourth proportional to 10,406.32, 15,607.98 and 3,386.98 is: 5,079.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.32 : 15,607.98 = 3,386.98 : x
  2. Step 2: Convert to fraction form
    10,406.32/15,607.98 = 3,386.98/x
  3. Step 3: Cross multiply
    10,406.32x = 15,607.98 × 3,386.98
  4. Step 4: Simplify right side
    10,406.32x = 52,863,916.10
  5. Step 5: Solve for x
    x = 52,863,916.10/10,406.32
  6. Step 6: Final answer
    x = 5,079.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.