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Finding the Fourth Proportional to 10,514.02, 14,509.90 and 6,038.50

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Solution

The fourth proportional to 10,514.02, 14,509.90 and 6,038.50 is: 8,333.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.02 : 14,509.90 = 6,038.50 : x
  2. Step 2: Convert to fraction form
    10,514.02/14,509.90 = 6,038.50/x
  3. Step 3: Cross multiply
    10,514.02x = 14,509.90 × 6,038.50
  4. Step 4: Simplify right side
    10,514.02x = 87,618,031.15
  5. Step 5: Solve for x
    x = 87,618,031.15/10,514.02
  6. Step 6: Final answer
    x = 8,333.45

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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.