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Finding the Fourth Proportional to 7,602.04, 10,495.62 and 5,830.24

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Solution

The fourth proportional to 7,602.04, 10,495.62 and 5,830.24 is: 8,049.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.04 : 10,495.62 = 5,830.24 : x
  2. Step 2: Convert to fraction form
    7,602.04/10,495.62 = 5,830.24/x
  3. Step 3: Cross multiply
    7,602.04x = 10,495.62 × 5,830.24
  4. Step 4: Simplify right side
    7,602.04x = 61,191,983.55
  5. Step 5: Solve for x
    x = 61,191,983.55/7,602.04
  6. Step 6: Final answer
    x = 8,049.42

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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.