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Finding the Fourth Proportional to 10,466.96, 15,722.91 and 6,574.10

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Solution

The fourth proportional to 10,466.96, 15,722.91 and 6,574.10 is: 9,875.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.96 : 15,722.91 = 6,574.10 : x
  2. Step 2: Convert to fraction form
    10,466.96/15,722.91 = 6,574.10/x
  3. Step 3: Cross multiply
    10,466.96x = 15,722.91 × 6,574.10
  4. Step 4: Simplify right side
    10,466.96x = 103,363,904.02
  5. Step 5: Solve for x
    x = 103,363,904.02/10,466.96
  6. Step 6: Final answer
    x = 9,875.26

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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.