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Finding the Fourth Proportional to 11,130.48, 15,360.80 and 6,415.07

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Solution

The fourth proportional to 11,130.48, 15,360.80 and 6,415.07 is: 8,853.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,130.48 : 15,360.80 = 6,415.07 : x
  2. Step 2: Convert to fraction form
    11,130.48/15,360.80 = 6,415.07/x
  3. Step 3: Cross multiply
    11,130.48x = 15,360.80 × 6,415.07
  4. Step 4: Simplify right side
    11,130.48x = 98,540,498.38
  5. Step 5: Solve for x
    x = 98,540,498.38/11,130.48
  6. Step 6: Final answer
    x = 8,853.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.