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Finding the Fourth Proportional to 10,152.73, 15,213.38 and 7,038.82

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Solution

The fourth proportional to 10,152.73, 15,213.38 and 7,038.82 is: 10,547.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152.73 : 15,213.38 = 7,038.82 : x
  2. Step 2: Convert to fraction form
    10,152.73/15,213.38 = 7,038.82/x
  3. Step 3: Cross multiply
    10,152.73x = 15,213.38 × 7,038.82
  4. Step 4: Simplify right side
    10,152.73x = 107,084,222.98
  5. Step 5: Solve for x
    x = 107,084,222.98/10,152.73
  6. Step 6: Final answer
    x = 10,547.34

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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.