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Finding the Fourth Proportional to 10,223.30, 15,302.55 and 7,307.30

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Solution

The fourth proportional to 10,223.30, 15,302.55 and 7,307.30 is: 10,937.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.30 : 15,302.55 = 7,307.30 : x
  2. Step 2: Convert to fraction form
    10,223.30/15,302.55 = 7,307.30/x
  3. Step 3: Cross multiply
    10,223.30x = 15,302.55 × 7,307.30
  4. Step 4: Simplify right side
    10,223.30x = 111,820,323.62
  5. Step 5: Solve for x
    x = 111,820,323.62/10,223.30
  6. Step 6: Final answer
    x = 10,937.79

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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.