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Finding the Fourth Proportional to 10,483.04, 14,461.60 and 6,502.64

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Solution

The fourth proportional to 10,483.04, 14,461.60 and 6,502.64 is: 8,970.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.04 : 14,461.60 = 6,502.64 : x
  2. Step 2: Convert to fraction form
    10,483.04/14,461.60 = 6,502.64/x
  3. Step 3: Cross multiply
    10,483.04x = 14,461.60 × 6,502.64
  4. Step 4: Simplify right side
    10,483.04x = 94,038,578.62
  5. Step 5: Solve for x
    x = 94,038,578.62/10,483.04
  6. Step 6: Final answer
    x = 8,970.54

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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.