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Finding the Fourth Proportional to 11,503.76, 15,875.16 and 6,467.84

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Solution

The fourth proportional to 11,503.76, 15,875.16 and 6,467.84 is: 8,925.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503.76 : 15,875.16 = 6,467.84 : x
  2. Step 2: Convert to fraction form
    11,503.76/15,875.16 = 6,467.84/x
  3. Step 3: Cross multiply
    11,503.76x = 15,875.16 × 6,467.84
  4. Step 4: Simplify right side
    11,503.76x = 102,677,994.85
  5. Step 5: Solve for x
    x = 102,677,994.85/11,503.76
  6. Step 6: Final answer
    x = 8,925.60

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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.