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Finding the Fourth Proportional to 10,210.76, 14,080.48 and 9,615.48

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Solution

The fourth proportional to 10,210.76, 14,080.48 and 9,615.48 is: 13,259.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,210.76 : 14,080.48 = 9,615.48 : x
  2. Step 2: Convert to fraction form
    10,210.76/14,080.48 = 9,615.48/x
  3. Step 3: Cross multiply
    10,210.76x = 14,080.48 × 9,615.48
  4. Step 4: Simplify right side
    10,210.76x = 135,390,573.83
  5. Step 5: Solve for x
    x = 135,390,573.83/10,210.76
  6. Step 6: Final answer
    x = 13,259.60

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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.