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Finding the Fourth Proportional to 8,307.19, 12,465.44 and 4,411.50

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Solution

The fourth proportional to 8,307.19, 12,465.44 and 4,411.50 is: 6,619.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.19 : 12,465.44 = 4,411.50 : x
  2. Step 2: Convert to fraction form
    8,307.19/12,465.44 = 4,411.50/x
  3. Step 3: Cross multiply
    8,307.19x = 12,465.44 × 4,411.50
  4. Step 4: Simplify right side
    8,307.19x = 54,991,261.11
  5. Step 5: Solve for x
    x = 54,991,261.11/8,307.19
  6. Step 6: Final answer
    x = 6,619.72

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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.