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Finding the Fourth Proportional to 10,130.40, 13,980.65 and 5,655.02

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Solution

The fourth proportional to 10,130.40, 13,980.65 and 5,655.02 is: 7,804.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,130.40 : 13,980.65 = 5,655.02 : x
  2. Step 2: Convert to fraction form
    10,130.40/13,980.65 = 5,655.02/x
  3. Step 3: Cross multiply
    10,130.40x = 13,980.65 × 5,655.02
  4. Step 4: Simplify right side
    10,130.40x = 79,060,855.36
  5. Step 5: Solve for x
    x = 79,060,855.36/10,130.40
  6. Step 6: Final answer
    x = 7,804.32

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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.