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Finding the Fourth Proportional to 10,395.40, 14,345.64 and 5,615.34

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Solution

The fourth proportional to 10,395.40, 14,345.64 and 5,615.34 is: 7,749.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,395.40 : 14,345.64 = 5,615.34 : x
  2. Step 2: Convert to fraction form
    10,395.40/14,345.64 = 5,615.34/x
  3. Step 3: Cross multiply
    10,395.40x = 14,345.64 × 5,615.34
  4. Step 4: Simplify right side
    10,395.40x = 80,555,646.12
  5. Step 5: Solve for x
    x = 80,555,646.12/10,395.40
  6. Step 6: Final answer
    x = 7,749.17

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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.