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Finding the Fourth Proportional to 10,518.88, 15,782.98 and 5,587.34

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Solution

The fourth proportional to 10,518.88, 15,782.98 and 5,587.34 is: 8,383.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,518.88 : 15,782.98 = 5,587.34 : x
  2. Step 2: Convert to fraction form
    10,518.88/15,782.98 = 5,587.34/x
  3. Step 3: Cross multiply
    10,518.88x = 15,782.98 × 5,587.34
  4. Step 4: Simplify right side
    10,518.88x = 88,184,875.47
  5. Step 5: Solve for x
    x = 88,184,875.47/10,518.88
  6. Step 6: Final answer
    x = 8,383.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.