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Finding the Fourth Proportional to 10,223.88, 14,097.12 and 7,038.87

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Solution

The fourth proportional to 10,223.88, 14,097.12 and 7,038.87 is: 9,705.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.88 : 14,097.12 = 7,038.87 : x
  2. Step 2: Convert to fraction form
    10,223.88/14,097.12 = 7,038.87/x
  3. Step 3: Cross multiply
    10,223.88x = 14,097.12 × 7,038.87
  4. Step 4: Simplify right side
    10,223.88x = 99,227,795.05
  5. Step 5: Solve for x
    x = 99,227,795.05/10,223.88
  6. Step 6: Final answer
    x = 9,705.49

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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.