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Finding the Fourth Proportional to 10,223.16, 15,272.54 and 6,495.52

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Solution

The fourth proportional to 10,223.16, 15,272.54 and 6,495.52 is: 9,703.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.16 : 15,272.54 = 6,495.52 : x
  2. Step 2: Convert to fraction form
    10,223.16/15,272.54 = 6,495.52/x
  3. Step 3: Cross multiply
    10,223.16x = 15,272.54 × 6,495.52
  4. Step 4: Simplify right side
    10,223.16x = 99,203,089.02
  5. Step 5: Solve for x
    x = 99,203,089.02/10,223.16
  6. Step 6: Final answer
    x = 9,703.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.