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Finding the Fourth Proportional to 10,606.96, 14,637.50 and 6,130.70

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Solution

The fourth proportional to 10,606.96, 14,637.50 and 6,130.70 is: 8,460.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.96 : 14,637.50 = 6,130.70 : x
  2. Step 2: Convert to fraction form
    10,606.96/14,637.50 = 6,130.70/x
  3. Step 3: Cross multiply
    10,606.96x = 14,637.50 × 6,130.70
  4. Step 4: Simplify right side
    10,606.96x = 89,738,121.25
  5. Step 5: Solve for x
    x = 89,738,121.25/10,606.96
  6. Step 6: Final answer
    x = 8,460.31

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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.