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Finding the Fourth Proportional to 10,509.58, 14,502.64 and 6,530.66

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Solution

The fourth proportional to 10,509.58, 14,502.64 and 6,530.66 is: 9,011.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.58 : 14,502.64 = 6,530.66 : x
  2. Step 2: Convert to fraction form
    10,509.58/14,502.64 = 6,530.66/x
  3. Step 3: Cross multiply
    10,509.58x = 14,502.64 × 6,530.66
  4. Step 4: Simplify right side
    10,509.58x = 94,711,810.94
  5. Step 5: Solve for x
    x = 94,711,810.94/10,509.58
  6. Step 6: Final answer
    x = 9,011.95

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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.