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Finding the Fourth Proportional to 10,494.40, 14,482.38 and 5,779.12

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Solution

The fourth proportional to 10,494.40, 14,482.38 and 5,779.12 is: 7,975.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.40 : 14,482.38 = 5,779.12 : x
  2. Step 2: Convert to fraction form
    10,494.40/14,482.38 = 5,779.12/x
  3. Step 3: Cross multiply
    10,494.40x = 14,482.38 × 5,779.12
  4. Step 4: Simplify right side
    10,494.40x = 83,695,411.91
  5. Step 5: Solve for x
    x = 83,695,411.91/10,494.40
  6. Step 6: Final answer
    x = 7,975.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.