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Finding the Fourth Proportional to 10,130.03, 13,980.14 and 5,654.66

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Solution

The fourth proportional to 10,130.03, 13,980.14 and 5,654.66 is: 7,803.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,130.03 : 13,980.14 = 5,654.66 : x
  2. Step 2: Convert to fraction form
    10,130.03/13,980.14 = 5,654.66/x
  3. Step 3: Cross multiply
    10,130.03x = 13,980.14 × 5,654.66
  4. Step 4: Simplify right side
    10,130.03x = 79,052,938.45
  5. Step 5: Solve for x
    x = 79,052,938.45/10,130.03
  6. Step 6: Final answer
    x = 7,803.82

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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.