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Finding the Fourth Proportional to 10,530.66, 14,533.08 and 6,055.82

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Solution

The fourth proportional to 10,530.66, 14,533.08 and 6,055.82 is: 8,357.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.66 : 14,533.08 = 6,055.82 : x
  2. Step 2: Convert to fraction form
    10,530.66/14,533.08 = 6,055.82/x
  3. Step 3: Cross multiply
    10,530.66x = 14,533.08 × 6,055.82
  4. Step 4: Simplify right side
    10,530.66x = 88,009,621.15
  5. Step 5: Solve for x
    x = 88,009,621.15/10,530.66
  6. Step 6: Final answer
    x = 8,357.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.