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Finding the Fourth Proportional to 8,280.83, 11,430.02 and 4,746.40

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Solution

The fourth proportional to 8,280.83, 11,430.02 and 4,746.40 is: 6,551.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,280.83 : 11,430.02 = 4,746.40 : x
  2. Step 2: Convert to fraction form
    8,280.83/11,430.02 = 4,746.40/x
  3. Step 3: Cross multiply
    8,280.83x = 11,430.02 × 4,746.40
  4. Step 4: Simplify right side
    8,280.83x = 54,251,430.22
  5. Step 5: Solve for x
    x = 54,251,430.22/8,280.83
  6. Step 6: Final answer
    x = 6,551.45

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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.