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Finding the Fourth Proportional to 10,656.94, 14,701.18 and 7,125.34

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Solution

The fourth proportional to 10,656.94, 14,701.18 and 7,125.34 is: 9,829.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.94 : 14,701.18 = 7,125.34 : x
  2. Step 2: Convert to fraction form
    10,656.94/14,701.18 = 7,125.34/x
  3. Step 3: Cross multiply
    10,656.94x = 14,701.18 × 7,125.34
  4. Step 4: Simplify right side
    10,656.94x = 104,750,905.90
  5. Step 5: Solve for x
    x = 104,750,905.90/10,656.94
  6. Step 6: Final answer
    x = 9,829.36

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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.