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Finding the Fourth Proportional to 10,686.76, 16,030.16 and 4,116.04

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Solution

The fourth proportional to 10,686.76, 16,030.16 and 4,116.04 is: 6,174.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.76 : 16,030.16 = 4,116.04 : x
  2. Step 2: Convert to fraction form
    10,686.76/16,030.16 = 4,116.04/x
  3. Step 3: Cross multiply
    10,686.76x = 16,030.16 × 4,116.04
  4. Step 4: Simplify right side
    10,686.76x = 65,980,779.77
  5. Step 5: Solve for x
    x = 65,980,779.77/10,686.76
  6. Step 6: Final answer
    x = 6,174.07

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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.