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Finding the Fourth Proportional to 7,404.88, 10,208.04 and 5,830.16

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Solution

The fourth proportional to 7,404.88, 10,208.04 and 5,830.16 is: 8,037.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,404.88 : 10,208.04 = 5,830.16 : x
  2. Step 2: Convert to fraction form
    7,404.88/10,208.04 = 5,830.16/x
  3. Step 3: Cross multiply
    7,404.88x = 10,208.04 × 5,830.16
  4. Step 4: Simplify right side
    7,404.88x = 59,514,506.49
  5. Step 5: Solve for x
    x = 59,514,506.49/7,404.88
  6. Step 6: Final answer
    x = 8,037.20

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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.