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Finding the Fourth Proportional to 10,461.77, 14,437.23 and 5,746.04

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Solution

The fourth proportional to 10,461.77, 14,437.23 and 5,746.04 is: 7,929.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.77 : 14,437.23 = 5,746.04 : x
  2. Step 2: Convert to fraction form
    10,461.77/14,437.23 = 5,746.04/x
  3. Step 3: Cross multiply
    10,461.77x = 14,437.23 × 5,746.04
  4. Step 4: Simplify right side
    10,461.77x = 82,956,937.16
  5. Step 5: Solve for x
    x = 82,956,937.16/10,461.77
  6. Step 6: Final answer
    x = 7,929.54

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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.