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Finding the Fourth Proportional to 8,465.04, 11,677.77 and 5,319

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Solution

The fourth proportional to 8,465.04, 11,677.77 and 5,319 is: 7,337.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465.04 : 11,677.77 = 5,319 : x
  2. Step 2: Convert to fraction form
    8,465.04/11,677.77 = 5,319/x
  3. Step 3: Cross multiply
    8,465.04x = 11,677.77 × 5,319
  4. Step 4: Simplify right side
    8,465.04x = 62,114,058.63
  5. Step 5: Solve for x
    x = 62,114,058.63/8,465.04
  6. Step 6: Final answer
    x = 7,337.72

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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.