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Finding the Fourth Proportional to 7,165.19, 9,888.01 and 4,140.07

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Solution

The fourth proportional to 7,165.19, 9,888.01 and 4,140.07 is: 5,713.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.19 : 9,888.01 = 4,140.07 : x
  2. Step 2: Convert to fraction form
    7,165.19/9,888.01 = 4,140.07/x
  3. Step 3: Cross multiply
    7,165.19x = 9,888.01 × 4,140.07
  4. Step 4: Simplify right side
    7,165.19x = 40,937,066.35
  5. Step 5: Solve for x
    x = 40,937,066.35/7,165.19
  6. Step 6: Final answer
    x = 5,713.32

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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.